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A uniformly tapering conical wire is mad...

A uniformly tapering conical wire is made from a material of young's modulus Y and has a normal unextended length `L` the radii at the upper and lower ends of this conical wire, have values R and 3R, respectively the upper end of the wire is fixed to a rigid support and a mass `M` is suspended from its lower end. the equilibrium extended length of this wire would equal to:

A

`L[1+2/9 frac(Mg) (piYR^2)]`

B

`L[1+1/9 frac(Mg) (piYR^2)]`

C

`L[1+1/3 frac(Mg) (piYR^2)]`

D

`L[1+2/3 frac(Mg) (piYR^2)]`

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